Consider the following linear program.
Max 1A + 2B
s. T.
1A ≤ 6
1B ≤ 5
2A + 2B = 14
A, B ≥ 0
Answers
For the provide inquilty problem,
a) The feasible region lies in between the following equations,
On or below the line y = 5On or to the left of the line x = 6On or above the y-axis i.e, y = 0On or to the right of the x-axis, x=0 On the linear line 2x + 2y = 14b) The extreme points of feasible region are (2,5) , (6,1) ,(0,0),(6,0),(0,5).
Let consider, x = A and y = B, this changes your inequalities and equations as follows: Maximize x + 2y, such that:
x ≤ 6
y ≤ 5
2x + 2y = 14
x,y ≥ 0
We use graphical method, for getting the solution of problem. So, first change the Inequalities into equality equations.
x = 6y = 52x + 2y = 14x = 0y = 0we would then find the region of feasibility by looking at the areas on the graph that satisfy the inequalities and equations,
x ≤ 6
y ≤ 5
2x + 2y = 14 (this is an equation)
x ≥0
y ≥ 0
a) The graph will look like as present above : we can see that the feasible region is the area on the graph that is:
on or below the line y = 5
on or to the left of the line x = 6
on or above the line y-axis , y = 0
on or to the right of the x-axis, x = 0
on the line 2x + 2y = 14
This says is that your solution has to be on the line of 2x + 2y = 14, have an x-coordinate that is greater than or equal to 0 and less than or equal to 5 and have a y-coordinate that is greater than or equal to 0 and less than or equal to 5. The maximum or minimum value should be at the corner points of the feasible region.
b) The corner points would be at (x,y) = (2,5) and (x,y) = (6,1). Also, plotted some other points on the line just to show the max/min value of function on the corner points of the feasible region.
(2,5) = 12
(4,3)= 10
(3,4) = 11
(6,1) = 8
the maximum solution is at the coordinate of (2,5) and all of your constraints have to be satisfied at the this point. The solution is that the maximum value is when x = 2 and y = 5, that is one of the corner points of the feasible region.
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Complete question:
Consider the following linear program:
Max. 1A+2B , s.t.
1A ≤6
1B≤5
2A+2B=14
A,B>0
a. Show the feasible region.
b. What are the extreme points of the feasible region?
Related Questions
What is a 120 angle called?
Answers
An angle that measures 120 degrees is called an obtuse angle.
An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. It is formed by the intersection of two lines that are not collinear, that is, they do not lie on the same line, and the angle is greater than a right angle but less than a straight angle.
An obtuse angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.
It's important to keep in mind that the term obtuse angle is just a classification based on the measure of the angle, which is greater than 90 degrees but less than 180 degrees, and it's not a specific angle measure, it could be any angle that is in that range.
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What is the sign of the rational number you wrote in part A for Quiana's loan? What does the sign represent?
Answers
The question is incomplete. The complete question is :
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Solution :
The sign is a negative sign and it represents the money which is debt.
In the question, it is given that Quiana had taken a loan of -$ 15,234.68
This amount of money will be returned to the lender from Quiana which is the debt of Quiana.
The negative sign(-) was inserted before the money that Quiana had borrowed. It represents the money of debt that Quiana owes and this amount is to be returned to the lender by Quiana.
Answer:
Step-by-step explanation:
The sign of the number is negative (-$15,234.68). The negative sign indicates that the loan is a debt. Money will be leaving Quiana’s bank account as she repays the loan.
If x is equal to 48 and y is equal to 12 then what is the value of x-4y?
Answers
Answer:
0
Step-by-step explanation:
48 - 4(12)
48 - 48 = 0
Answer:
The value of x - 4y would be 0.
Step-by-step explanation:
Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. [tex]x-4y[/tex] = [tex]48 - 4 * 12[/tex] = [tex]48 - 48[/tex] = 0, so that is the correct answer.
Find the area of the shaded sector of the circle.
Answers
Answer:
16.74
Step-by-step explanation:
Find the radius of a circle with an area of 167 π square
Answers
Answer:
r≈7.29
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=√A /π=√167/ π≈7.29094
25PTS don’t explain
Answers
Answer:
y = 2x+ 3
Step-by-step explanation:
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answers
Answer:
2n - 8 is your answer
Step-by-step explanation:
I f a salesman get salary 1000 per month for selling 100 onion daily .. then what is the price of 1 onion
Answers
Answer:
3$
Step-by-step explanation:
∴In 1 day, he sells 100 onions
∴In 30 days, he sells (100×30) onions
=3000 onions
Again,
∴Selling 3000 onions, he gets 1000$
∴Selling 1 onion, he gets (3000÷1000)$
=3$
Hope this helps<3
and pls mark me as brainliest ❤️
A bookstore owner has 15 different books to arrange on the shelves in a display case. Each shelf can display 3 books.In how many different ways can the owner arrange 3 books on the top shelf of the display case
Answers
There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.
How many different ways can you arrange3 books on a shelf?different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.How many ways can you arrange 3 books on a shelf from a group of 7?= 5040 arrangements. Three books that we want together have 3!Therefore, the number of ways in which the 3 letters can be arranged, taken all a time, is 3! = 3*2*1 = 6 ways.A trilogy is a set of three distinct works that are connected and can be seen either as a single work or as three individual works. They are commonly found in literature, film, and video games.When using three shelves, place the middle shelf higher or lower than the one on either side. Five shelves can be staggered with two or three higher than the others, alternating every other shelf for a horizontal groupingTo learn more about arrange3 books on a shelf refers to:
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What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
Answers
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
To maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, the greatest possible quotient as required is; 25.
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!PLEASE HELP ASAP!
These two figures are similar. Find the length of side x.
Answers
the length of side x = 12.5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
From the given figure, we get.
These two figures are similar.
so, we have,
8/x=y/5 ............(1)
10/15=4/z ......(2)
8/15=y/z .....(3)
Solving we get,
x=12.5
Hence, the length of side x = 12.5.
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What does x = ? Please help meee
Answers
Answer:
x= 95 duhhhhhhh lol jk but its 95
Step-by-step explanation:
Answer:
x = 95° by the Vertical Angles are congruent theorem
Hope this helps!
Vote you brainlest thanks
Answers
Answer:
D 11/18 11:18 11 to 18
Step-by-step explanation:
Because there are eleven technicians, our numerator is 11. Then, because there are 18 total helpers our denominator is 18.
Please help with question 7! BRAINLIEST to correct answer!
Answers
Answer:
x = 228
Step-by-step explanation:
pretty simple
Answer:
i'm pretty sure its C-228
Help a brother out with this one please.
Answers
Answer:
Volume:3000 Surface Area:1300
Step-by-step explanation:
To find the volume of a rectangular prism you times the length times the width and times the height which will give 3000. For the surface area it is 2(w(l)+h(l)+h(w)) which will equal to 1300. The length is 15, the width is 20, and the height is 10. Hope this helps!
The digits of a two-digit number differ by 3. If digits are interchanged
and the resulting number is added to the original number, we get 121.
Find the original number
Answers
Answer:
47
Step-by-step explanation:
4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74
47 + 74 = 121 so 47 is the original number.
What is the distance between the following points
Answers
Answer:
The answer is the last option
Square root 8
Step-by-step explanation:
An equilateral triangle $ABC$ shares a common side $BC$ with a square $BCDE,$ as pictured. What is the number of degrees in $\angle DAE$ (not pictured)
Answers
30° = angle DAE
Step-by-step explanation:
We have ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.
if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB
60 = 15 + angle DAE + 15
60 = 30 + angle DAE
30° = angle DAE
Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.
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Dulce the dog loves to go on walks.
Each morning she walks for 45 minutes.
She also goes for a 20 minute walk at
lunch, and an evening stroll for 1 hour
and 30 minutes. How long does she
walk each day?
HURRY!!
Answers
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
, then find m∠Q and m∠S.
Answers
In □PQRS side PQ∥ side RS. If m∠P = 108degree
and m∠R = 53degree
To Find :-m∠Q and m∠S.
Solution :-According to angle sum property
P∠Q=180−∠P
∠Q=180−108
[tex]\boxed{\sf{\angle Q = 72°}}[/tex]
For angle S
∠S=180−∠R
∠S=180−53
[tex]\boxed{\sf {\angle S = 127°}}[/tex]
[tex]\maltese\bold {lucky75} \maltese[/tex]
Answer:
Step-by-step explanation:
In □PQRS side PQ∥ side RS
so m∠P and m∠S are interior angle pair which add to 180degree
given m∠P = 108degree
m∠S = 180 - 108 = 72degree
similarly m∠R and m∠Qare interior angle pair which add to 180degree
given m∠R = 53degree
m∠S = 180 - 53 = 127degree
Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Answers
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, the sum of any two angles on a straight line equals 180°.
what is angle ?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .
given
If two angles' sums are same, they are said to be supplementary.
If two angles' sums are same, they are said to be complimentary.
Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.
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Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c
Answers
Answer:
y=x+1
Step-by-step explanation:
first find the slope using the two coordinates:
use the slope formula- m=y^2-y^1/x^2-x^1
6-2/5-1
=4/4
=1
y=mx+b
now plug in one of the coordinates, and the slope we just found into the slope intercept formula
2=1(1)+b
2=1+b
subtract 1 from both sides
1=b
1=b; m=1,
y=x+1
Someone please please help me ASAP
No links or files
I will give Brainly
Answers
Answer:
1) 6
2) 9
3) improper.
Step-by-step explanation:
I hope this helps!
Answer:
Q2) 9
explanation:6/1 / 2/3
Applying the fractions formula for division,
6 x 3
1 x 2
18/2 simplyfy 9
Q3)improper fraction
What should be the value of a if the value of 2x^2 XA equals to 5 when?
Answers
The value of a is -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.
The given equation is 2x^2 + x -a = 5.
let's try to understand what is an equation.
An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,
The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.
There are many different kinds of equations, including cubic, quadratic, and linear equations.
There are many distinct sorts of equations, depending on the degree of the equation.
2x^2 + x -a = 5. put x = 0.
2*0 + 0 - a = 5
0 + 0 -a = 5
-a =5
a = -5.
So the value of a is -5.
Given Question is incomplete complete question here:
What should be the value of a if the value of 2x^2+x - a equals to 5
when x = 0?
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Help me with this ASAP plz!!
Answers
Answer:
Rate of change = 2 & Initial value = -1
show all your working please
Answers
Answer:
45 cm²
Step-by-step explanation:
area = ½×11×13×sin 39°
= 71.5 × 0.6294
= 45 cm²
Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
Answers
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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in △JKL, if m∠J = 90° then∠K and∠L are
A) Acute
B) Obtuse
C) Congruent
D) Vertical
Answers
Answer:
acute
Step-by-step explanation:
since a full triangle is 180, angles K and L must be 90 when put TOGETHER so each one would have to be less than 90 :)
Answer:
Acute
Step-by-step explanation:
Since a triangle adds up to 180 subtract 90. this leaves you with 90 and since there are two angles it has to be less than 90 which is an acute angle
Hope this helps!
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
the answer would be letter B
Given that
P
=
x
+
y
.
Find
P
when:
x
=
−
25
and
y
=
−
25
Answers
hope this helps